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3 years ago

How are the graphs of the functions y=x+7 and y=x-5 related?

Mathematics

2 answers:

Zanzabum3 years ago

8 0

They have the same slope, but different y-intercepts, making them parallel.

luda_lava [24]3 years ago

4 0

They are both straight lines and parallel to each other. Their slopes are the same.

y = mx + b is one general form of the equation of a straight line,.

if we compare this to y = x + 7 and y = x - 5 we see that they both have the same slope of 1.

y = x + 7 will have a y intercept of (0,7) and y = x - 5 has y intercept of (0,-5)

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Find the end behavior of f(x)= x^2+6x+6

AlladinOne [14]

Answer:

falls to the left and rises to the right

Step-by-step explanation:

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3 years ago

Suppose the scores on an exam are normally distributed with a mean μ = 75 points, and standard deviation σ = 8 points.

Artyom0805 [142]

Answer:

$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

$P(Z>-0.75)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problm

Let X the random variable that represent the scores on an exam of a population, and for this case we know the distribution for X is given by:

$X \sim N(75,8)$

Where $\mu=75$ and $\sigma=8$

We are interested on this probability

$P(X>69)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>69)=P(\frac{X-\mu}{\sigma}>\frac{69-\mu}{\sigma})=P(Z>\frac{69-75}{8})=P(Z>-0.75)$

And we can find this probability on this way:

$P(Z>-0.75)=1-P(Z$

4 0

3 years ago

at freds house, santa ate the same number of suger cookies and chocolate chip cookies. Twice the number of sugar cookies he ate

lawyer [7]

751.2÷25= need help showing the way to get to the answer

6 0

3 years ago

Read 2 more answers

What is the probability that she picks a red marble then a green then a blue or orange if there are 75 blue 50 green 100 orange

denpristay [2]

Answer:

7/500

Step-by-step explanation:

1/10*1/5*7/10

6 0

4 years ago

A farmer plowed a rectangular section of land for a new crop. The section measures 24 1/2 yd by 38 1/2 yd. Find the total area i

MAVERICK [17]

Answer: $943\dfrac{1}{4}\text{ sq. yds}$

Step-by-step explanation:

Given , A farmer plowed a rectangular section of land for a new crop.

Dimensions of the section is given by :-

Length by width = $24\dfrac{1}{2}\text{ yd by }38\dfrac{1}{2}\text{ yd}$

Since , the area of a rectangle = length x width

Then, the total area in yards of plowed section of land will be:

$24\dfrac{1}{2}\times38\dfrac{1}{2}\text{ sq. yds}\\\\=\dfrac{2(24)+1}{2}\times\dfrac{2(38)+1}{2}\text{ sq. yds}\\\\=\dfrac{49}{2}\times\dfrac{77}{2}\text{ sq. yds}\\\\=\dfrac{3773}{4}\text{ sq. yds}\\\\=943\dfrac{1}{4}\text{ sq. yds}$

Hence, the total area in yards of plowed section of land = $943\dfrac{1}{4}\text{ sq. yds}$

8 0

3 years ago